Markus Schmidtchen

About Markus Schmidtchen

Markus Schmidtchen, With an exceptional h-index of 11 and a recent h-index of 11 (since 2020), a distinguished researcher at Technische Universität Dresden, specializes in the field of Applied Mathematics, Partial Differential Equations, Mathematical Biology.

His recent articles reflect a diverse array of research interests and contributions to the field:

On the incompressible limit for a tumour growth model incorporating convective effects

A degenerate cross-diffusion system as the inviscid limit of a nonlocal tissue growth model

The approximation of the quadratic porous medium equation via nonlocal interacting particles subject to repulsive Morse potential

Nonlocal cross-interaction systems on graphs: Nonquadratic Finslerian structure and nonlinear mobilities

A Convergent Finite Volume Method for a Kinetic Model for Interacting Species

Linking discrete and continuous models of cell birth and migration

Derivation of a macroscopic model for Brownian hard needles

The aronson–bénilan estimate in lebesgue spaces

Markus Schmidtchen Information

University

Position

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Citations(all)

405

Citations(since 2020)

379

Cited By

121

hIndex(all)

11

hIndex(since 2020)

11

i10Index(all)

12

i10Index(since 2020)

12

Email

University Profile Page

Google Scholar

Markus Schmidtchen Skills & Research Interests

Applied Mathematics

Partial Differential Equations

Mathematical Biology

Top articles of Markus Schmidtchen

On the incompressible limit for a tumour growth model incorporating convective effects

Communications on Pure and Applied Mathematics

2024/5

Markus Schmidtchen
Markus Schmidtchen

H-Index: 6

A degenerate cross-diffusion system as the inviscid limit of a nonlocal tissue growth model

SIAM Journal on Mathematical Analysis

2024/4/30

Markus Schmidtchen
Markus Schmidtchen

H-Index: 6

The approximation of the quadratic porous medium equation via nonlocal interacting particles subject to repulsive Morse potential

arXiv preprint arXiv:2401.10676

2024/1/19

Markus Schmidtchen
Markus Schmidtchen

H-Index: 6

Nonlocal cross-interaction systems on graphs: Nonquadratic Finslerian structure and nonlinear mobilities

SIAM Journal on Mathematical Analysis

2023/12/31

A Convergent Finite Volume Method for a Kinetic Model for Interacting Species

arXiv preprint arXiv:2309.07541

2023/9/14

Markus Schmidtchen
Markus Schmidtchen

H-Index: 6

Linking discrete and continuous models of cell birth and migration

arXiv preprint arXiv:2308.16093

2023/8/30

Derivation of a macroscopic model for Brownian hard needles

Proceedings of the Royal Society A

2023/6/28

Maria Bruna
Maria Bruna

H-Index: 13

Markus Schmidtchen
Markus Schmidtchen

H-Index: 6

The aronson–bénilan estimate in lebesgue spaces

Annales de l'Institut Henri Poincaré C

2022/7/13

Giulia Bevilacqua
Giulia Bevilacqua

H-Index: 2

Markus Schmidtchen
Markus Schmidtchen

H-Index: 6

Nonlocal cross-interaction systems on graphs: Energy landscape and dynamics

arXiv preprint arXiv:2204.09553

2022/4/20

On a novel gradient flow structure for the aggregation equation

arXiv preprint arXiv:2112.08317

2021/12/15

Impacts of California Proposition 47 on crime in Santa Monica, California

PLoS one

2021/5/19

Jennifer Crodelle
Jennifer Crodelle

H-Index: 3

Markus Schmidtchen
Markus Schmidtchen

H-Index: 6

Many-particle limit for a system of interaction equations driven by Newtonian potentials

Calculus of Variations and Partial Differential Equations

2021/4

Antonio Esposito
Antonio Esposito

H-Index: 30

Markus Schmidtchen
Markus Schmidtchen

H-Index: 6

Incompressible limit for a two-species model with coupling through Brinkman's law in any dimension

Journal de Mathématiques Pures et Appliquées

2021/1/1

Markus Schmidtchen
Markus Schmidtchen

H-Index: 6

Convergence of a fully discrete and energy-dissipating finite-volume scheme for aggregation-diffusion equations

Mathematical Models and Methods in Applied Sciences

2020/12/15

Rafael Bailo
Rafael Bailo

H-Index: 4

Markus Schmidtchen
Markus Schmidtchen

H-Index: 6

Incompressible limit for a two-species tumour model with coupling through Brinkman’s law in one dimension

Acta Applicandae Mathematicae

2020/10

Markus Schmidtchen
Markus Schmidtchen

H-Index: 6

Trend to equilibrium for systems with small cross-diffusion

ESAIM: Mathematical Modelling and Numerical Analysis

2020/9/1

Markus Schmidtchen
Markus Schmidtchen

H-Index: 6

Segregation effects and gap formation in cross-diffusion models

Interfaces and Free Boundaries

2020/7/6

Convergence of a finite volume scheme for a system of interacting species with cross-diffusion

Numerische Mathematik

2020/7

Markus Schmidtchen
Markus Schmidtchen

H-Index: 6

Hele–shaw limit for a system of two reaction-(cross-) diffusion equations for living tissues

Archive for Rational Mechanics and Analysis

2020/5

Markus Schmidtchen
Markus Schmidtchen

H-Index: 6

See List of Professors in Markus Schmidtchen University(Technische Universität Dresden)

Co-Authors

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